A utility representation theorem with weaker continuity condition

Inoue T (2010)
JOURNAL OF MATHEMATICAL ECONOMICS 46(1): 122-127.

Journal Article | Published | English

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Abstract
We prove that a mixture continuous preference relation has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than the usual continuity assumed by them. (C) 2009 Elsevier B.V. All rights reserved.
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Inoue T. A utility representation theorem with weaker continuity condition. JOURNAL OF MATHEMATICAL ECONOMICS. 2010;46(1):122-127.
Inoue, T. (2010). A utility representation theorem with weaker continuity condition. JOURNAL OF MATHEMATICAL ECONOMICS, 46(1), 122-127.
Inoue, T. (2010). A utility representation theorem with weaker continuity condition. JOURNAL OF MATHEMATICAL ECONOMICS 46, 122-127.
Inoue, T., 2010. A utility representation theorem with weaker continuity condition. JOURNAL OF MATHEMATICAL ECONOMICS, 46(1), p 122-127.
T. Inoue, “A utility representation theorem with weaker continuity condition”, JOURNAL OF MATHEMATICAL ECONOMICS, vol. 46, 2010, pp. 122-127.
Inoue, T.: A utility representation theorem with weaker continuity condition. JOURNAL OF MATHEMATICAL ECONOMICS. 46, 122-127 (2010).
Inoue, Tomoki. “A utility representation theorem with weaker continuity condition”. JOURNAL OF MATHEMATICAL ECONOMICS 46.1 (2010): 122-127.
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